Use the Binomial Formula to Expand the Binomial $( \mathrm { w } - \mathrm { s } ) ^ { 6 }$

question 146

Multiple Choice

Use the binomial formula to expand the binomial.
- $( \mathrm { w } - \mathrm { s } ) ^ { 6 }$

• A) \(w ^ { 6 } - 6 w ^ { 5 } s + 15 w ^ { 4 } s ^ { 2 } - 20 w ^ { 3 } s ^ { 3 } + 15 w ^ { 2 } s ^ { 4 } - 6 w s ^ { 5 } + s ^ { 6 }\)
• B) \(w ^ { 6 } - s ^ { 6 }\)
• C) \(w ^ { 6 } - 8 w ^ { 5 } s + 17 w ^ { 4 } s ^ { 2 } - 22 w ^ { 3 } s ^ { 3 } + 17 w ^ { 2 } s ^ { 4 } - 8 w s ^ { 5 } + s ^ { 6 }\)
• D) \(w ^ { 6 } - 6 w ^ { 5 } s - 30 w ^ { 4 } s ^ { 2 } + 120 w ^ { 3 } s ^ { 3 } + 360 w ^ { 2 } s ^ { 4 } - 720 w s ^ { 5 } - 720 s ^ { 6 }\)

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Definitions:

Heritability

The proportion of variation in traits within a population that can be attributed to genetic differences among individuals.

Genetic Differences

Variations in the DNA sequences among individuals, which contribute to the diversity of organisms' characteristics.

Total Variance

In statistics, the sum of explained and unexplained variance, representing the total amount of variability in a dataset.

Heritability Estimates

Statistical measures that indicate what proportion of variation in a trait within a population can be attributed to genetic differences among individuals in that population.